### Abstract

We study collective regular and stochastic dynamics in a chain of harmonically coupled particles subjected to an on-site potential with two degenerate energy wells but with differing frequencies of small-amplitude oscillations at their minima. We identify and study asymmetry-induced properties of a Peierls-Nabarro relief, kink-antikink interactions, and stochastic kink motion. In particular, we predict analytically and confirm numerically directed noise-induced soliton motion when the chain particles are driven by white and exponentially correlated noise. The difference of frequencies of oscillations in the vicinity of the wells is shown to be a sufficient condition for the existence of such a directed kink motion. We find that under certain conditions a reversal of the soliton motion takes place; these conditions involve the noise properties such as a critical correlation time or noise strength or the presence of an external d.c. field. In particular, we find that above some critical value of temperature, the directed soliton transport occurs against an applied d.c. field.

Original language | English |
---|---|

Pages (from-to) | 2457-2466 |

Number of pages | 10 |

Journal | Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics |

Volume | 56 |

Issue number | 3 SUPPL. A |

Publication status | Published - 1997 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Mathematical Physics
- Physics and Astronomy(all)
- Condensed Matter Physics
- Statistical and Nonlinear Physics

### Cite this

*Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics*,

*56*(3 SUPPL. A), 2457-2466.

**Reversal effects in stochastic kink dynamics.** / Savin, A. V.; Tsironis, G. P.; Zolotaryuk, A. V.

Research output: Contribution to journal › Article

*Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics*, vol. 56, no. 3 SUPPL. A, pp. 2457-2466.

}

TY - JOUR

T1 - Reversal effects in stochastic kink dynamics

AU - Savin, A. V.

AU - Tsironis, G. P.

AU - Zolotaryuk, A. V.

PY - 1997

Y1 - 1997

N2 - We study collective regular and stochastic dynamics in a chain of harmonically coupled particles subjected to an on-site potential with two degenerate energy wells but with differing frequencies of small-amplitude oscillations at their minima. We identify and study asymmetry-induced properties of a Peierls-Nabarro relief, kink-antikink interactions, and stochastic kink motion. In particular, we predict analytically and confirm numerically directed noise-induced soliton motion when the chain particles are driven by white and exponentially correlated noise. The difference of frequencies of oscillations in the vicinity of the wells is shown to be a sufficient condition for the existence of such a directed kink motion. We find that under certain conditions a reversal of the soliton motion takes place; these conditions involve the noise properties such as a critical correlation time or noise strength or the presence of an external d.c. field. In particular, we find that above some critical value of temperature, the directed soliton transport occurs against an applied d.c. field.

AB - We study collective regular and stochastic dynamics in a chain of harmonically coupled particles subjected to an on-site potential with two degenerate energy wells but with differing frequencies of small-amplitude oscillations at their minima. We identify and study asymmetry-induced properties of a Peierls-Nabarro relief, kink-antikink interactions, and stochastic kink motion. In particular, we predict analytically and confirm numerically directed noise-induced soliton motion when the chain particles are driven by white and exponentially correlated noise. The difference of frequencies of oscillations in the vicinity of the wells is shown to be a sufficient condition for the existence of such a directed kink motion. We find that under certain conditions a reversal of the soliton motion takes place; these conditions involve the noise properties such as a critical correlation time or noise strength or the presence of an external d.c. field. In particular, we find that above some critical value of temperature, the directed soliton transport occurs against an applied d.c. field.

UR - http://www.scopus.com/inward/record.url?scp=4344633531&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=4344633531&partnerID=8YFLogxK

M3 - Article

VL - 56

SP - 2457

EP - 2466

JO - Physical review. E

JF - Physical review. E

SN - 2470-0045

IS - 3 SUPPL. A

ER -